Finite Group Databasebeta

← #33259003

Subgroups — #33259003

Order 18688.

2404 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989183C211yesmaximal, characteristic, complemented
2C2×#17989173C211yesmaximal, characteristic, complemented
3#22618300C211yesmaximal, characteristic, complemented
4#22618295C211yesmaximal, characteristic, complemented
5#22618258C211yesmaximal, characteristic, complemented
6#22618227C211yesmaximal, characteristic, complemented
7#22616091C211yesmaximal, characteristic, complemented
8#22616086C211yesmaximal, characteristic, complemented
9#22616067C211yesmaximal, characteristic, complemented
10#22616062C211yesmaximal, characteristic, complemented
11#22615071C211yesmaximal, characteristic, complemented
12#22615064C211yesmaximal, characteristic, complemented
13#22615041C211yesmaximal, characteristic, complemented
14#22615034C211yesmaximal, characteristic, complemented
15#22614936C211yesmaximal, characteristic, complemented
16#22614894C211yesmaximal, characteristic, complemented
17#22614856C211yesmaximal, characteristic, complemented
18#22614822C211yesmaximal, characteristic, complemented
19#22614636C211yesmaximal, characteristic, complemented
20#22614604C211yesmaximal, characteristic, complemented
21#22614256C211yesmaximal, characteristic, complemented
22#22614053C211yesmaximal, characteristic, complemented
23#22613931C211yesmaximal, characteristic, complemented
24#22613487C211yesmaximal, characteristic, complemented
25#22613474C211yesmaximal, characteristic, complemented
26#22612598C211yesmaximal, characteristic, complemented
27#22612587C211yesmaximal, characteristic, complemented
28C4×#14556562C211yesmaximal, characteristic, complemented
29#388×D73C211yesmaximal, characteristic, complemented
30C4×#14556553C211yesmaximal, characteristic, complemented
31C73×#2461C211yesmaximal, characteristic, complemented
32#17989183—28no—
33#17989173—28no—
34C2×#14556586C2211yescharacteristic
35C2×#14556586C2211yescharacteristic, complemented
36C2×#14556584C2211yescharacteristic
37C2×#14556584C2211yescharacteristic, complemented
38C2×#14556581C2211yescharacteristic, complemented
39C2×#14556581C2211yescharacteristic, complemented
40C2×#14556577C2211yescharacteristic
41C2×#14556577C2211yescharacteristic
42C2×#14556576C2211yescharacteristic
43C2×#14556576C2211yescharacteristic
44C2×#14556574C2211yescharacteristic, complemented
45C2×#14556573C2211yescharacteristic
46C2×#14556573C2211yescharacteristic
47C2×#14556573C2211yescharacteristic, complemented
48C2×#14556571C2211yescharacteristic
49C2×#14556567C2211yescharacteristic
50C2×#14556567C2211yescharacteristic, complemented
51C2×#14556565C2211yescharacteristic
52C2×#14556564C2211yescharacteristic
53C2×#14556564C2211yescharacteristic
54C2×#14556564C2211yescharacteristic
55C2×#14556562C2211yescharacteristic
56C2×#14556562C2211yescharacteristic
57C2×#14556561C2211yescharacteristic
58C2×#14556559C2211yescharacteristic
59C2×#14556559C2211yescharacteristic
60C2×C4×D292C2211yescharacteristic
61C2×#14556553C2211yescharacteristic
62C2×#14556553C2211yescharacteristic
63C2×C4×C22⋊D73C2211yescharacteristic
64C2×C4×C22⋊D73C2211yescharacteristic
65C2×C4⋊C4×D73C2211yescharacteristic
66C2×C22⋊C4×D73C2211yescharacteristic
67C2×C22⋊C4×D73C2211yescharacteristic
68C2×C22⋊C4×D73C2211yescharacteristic
69C2×C42×D73C2211yescharacteristic
70C2×C42×D73C2211yescharacteristic, complemented
71#17988529C2211yescharacteristic, complemented
72#17988526C2211yescharacteristic, complemented
73#17988524C2211yescharacteristic
74#17988523C2211yescharacteristic
75#17988520C2211yescharacteristic, complemented
76#17988520C2211yescharacteristic, complemented
77#17988519C2211yescharacteristic, complemented
78#17988517C2211yescharacteristic, complemented
79#17988515C2211yescharacteristic
80#17988514C2211yescharacteristic, complemented
81#17988514C2211yescharacteristic, complemented
82#17988512C2211yescharacteristic, complemented
83#17988510C2211yescharacteristic
84#17988510C2211yescharacteristic, complemented
85#17988509C2211yescharacteristic
86#17988508C2211yescharacteristic, complemented
87#17988504C2211yescharacteristic
88#17988504C2211yescharacteristic
89#17988503C2211yescharacteristic
90#17988503C2211yescharacteristic
91#17988503C2211yescharacteristic
92#17988503C2211yescharacteristic, complemented
93#17988501C2211yescharacteristic
94#17988499C2211yescharacteristic, complemented
95#17988498C2211yescharacteristic
96#17988495C2211yescharacteristic
97#17988495C2211yescharacteristic
98#17988495C2211yescharacteristic, complemented
99#17988494C2211yescharacteristic, complemented
100#17988491C2211yescharacteristic, complemented
101#17988491C2211yescharacteristic, complemented
102#17988490C2211yescharacteristic
103#17988490C2211yescharacteristic
104#17988490C2211yescharacteristic
105#17988490C2211yescharacteristic, complemented
106#17988487C2211yescharacteristic
107#17988487C2211yescharacteristic
108#17988487C2211yescharacteristic
109#17988487C2211yescharacteristic
110#17988486C2211yescharacteristic, complemented
111#17988485C2211yescharacteristic, complemented
112#17988484C2211yescharacteristic, complemented
113#17988483C2211yescharacteristic, complemented
114#17988483C2211yescharacteristic, complemented
115#17988482C2211yescharacteristic, complemented
116#17988481C2211yescharacteristic
117#17988481C2211yescharacteristic
118#17988481C2211yescharacteristic, complemented
119#17988481C2211yescharacteristic, complemented
120#17988480C2211yescharacteristic
121#17988480C2211yescharacteristic
122#17988480C2211yescharacteristic, complemented
123#17988480C2211yescharacteristic, complemented
124#17988479C2211yescharacteristic
125#17988479C2211yescharacteristic
126#17988478C2211yescharacteristic
127#17988478C2211yescharacteristic
128#17988478C2211yescharacteristic
129#17988477C2211yescharacteristic
130#17988477C2211yescharacteristic
131#17988476C2211yescharacteristic
132#17988476C2211yescharacteristic
133#17988475C2211yescharacteristic
134#17988475C2211yescharacteristic
135#17988475C2211yescharacteristic
136#17988475C2211yescharacteristic, complemented
137#17988475C2211yescharacteristic, complemented
138#17988475C2211yescharacteristic, complemented
139#17988472C2211yescharacteristic, complemented
140#17988468C2211yescharacteristic, complemented
141#17988466C2211yescharacteristic
142#17988465C2211yescharacteristic
143#17988463C2211yescharacteristic
144#17988463C2211yescharacteristic
145#17988463C2211yescharacteristic
146#17988463C2211yescharacteristic
147#17988463C2211yescharacteristic
148#17988463C2211yescharacteristic
149#17988463C2211yescharacteristic, complemented
150#17988463C2211yescharacteristic, complemented
151#17988463C2211yescharacteristic, complemented
152#17988461C2211yescharacteristic
153#17988460C2211yescharacteristic, complemented
154#17988458C2211yescharacteristic
155#17988453C2211yescharacteristic, complemented
156#17988449C2211yescharacteristic
157#17988446C2211yescharacteristic, complemented
158#17988444C2211yescharacteristic
159#17988442C2211yescharacteristic
160C4⋊C4×Dic73C2211yescharacteristic, complemented
161C4⋊C4×Dic73C2211yescharacteristic, complemented
162C4×C4⋊Dic73C2211yescharacteristic, complemented
163C4×#11924005C2211yescharacteristic
164C4×#11924005C2211yescharacteristic, complemented
165C4×C22⋊Dic73C2211yescharacteristic, complemented
166C4×C22⋊Dic73C2211yescharacteristic, complemented
167#17988434C2211yescharacteristic
168#17988434C2211yescharacteristic
169#17988434C2211yescharacteristic, complemented
170#17988434C2211yescharacteristic, complemented
171#95×D73C2211yescharacteristic
172#95×D73C2211yescharacteristic
173C42×Dic73C2211yescharacteristic, complemented
174C2×#124×C73C2211yescharacteristic
175C2×#123×C73C2211yescharacteristic
176C2×C22⋊Q8×C73C2211yescharacteristic, complemented
177C2×C4×D4×C73C2211yescharacteristic, complemented
178#396×C73C2211yescharacteristic
179#395×C73C2211yescharacteristic, complemented
180#394×C73C2211yescharacteristic, complemented
181#392×C73C2211yescharacteristic
182#390×C73C2211yescharacteristic
183#388×C73C2211yescharacteristic
184#388×C73C2211yescharacteristic, complemented
185#388×C73C2211yescharacteristic, complemented
186#386×C73C2211yescharacteristic
187#385×C73C2211yescharacteristic, complemented
188C4×C4⋊C4×C73C2211yescharacteristic, complemented
189C24×D73C2311yescharacteristic
190C22×Dic146C2311yescharacteristic
191C22×D292C2311yescharacteristic
192C22×D292C2311yescharacteristic
193C22×C22⋊D73C2311yescharacteristic
194C22×C22⋊D73C2311yescharacteristic
195C22×C22⋊D73C2311yescharacteristic
196C22×C22⋊D73C2311yescharacteristic
197C22×C22⋊D73C2311yescharacteristic
198C22×C22⋊D73C2311yescharacteristic
199C22×C22⋊D73C2311yescharacteristic
200C22×C4×D73C2311yescharacteristic
201C22×C4×D73C2311yescharacteristic
202C22×C4×D73C2311yescharacteristic
203C22×C4×D73C2311yescharacteristic
204C22×C4×D73C2311yescharacteristic
205C22×C4×D73C2311yescharacteristic
206C22×C4×D73C2311yescharacteristic
207C22×C4×D73C2311yescharacteristic
208C22×C4×D73C2311yescharacteristic
209#14556586—24no—
210#14556586—24no—
211#14556584—24no—
212#14556584—24no—
213#14556581—24no—
214#14556581—24no—
215#14556577—24no—
216#14556577—24no—
217#14556576—24no—
218#14556576—24no—
219#14556574—24no—
220#14556573—24no—
221#14556573—24no—
222#14556573—24no—
223#14556571—24no—
224#14556567—24no—
225#14556567—24no—
226#14556565—24no—
227#14556564—24no—
228#14556564—24no—
229#14556564—42no—
230#14556562—24no—
231#14556562—24no—
232#14556561—24no—
233#14556559—24no—
234#14556559—24no—
235C4×D292—24no—
236#14556553—24no—
237#14556553D418yescomplemented
238C4×C22⋊D73—24no—
239C4×C22⋊D73—24no—
240C2×C4⋊Dic73C2311yescharacteristic
241C2×C4⋊Dic73C2311yescharacteristic
242C2×C4⋊Dic73C2311yescharacteristic
243C2×C4⋊Dic73C2311yescharacteristic
244C2×C4⋊Dic73C2311yescharacteristic
245C2×C4⋊Dic73C2311yescharacteristic
246C2×C4⋊Dic73C2311yescharacteristic
247C2×C4⋊Dic73C2311yescharacteristic
248C2×C4⋊Dic73C2311yescharacteristic
249C2×C4⋊Dic73C2311yescharacteristic
250C2×#11924007C2311yescharacteristic
251C2×#11924007C2311yescharacteristic
252C2×#11924007C2311yescharacteristic
253C2×#11924007C2311yescharacteristic
254C2×#11924007C2311yescharacteristic
255C2×#11924007C2311yescharacteristic
256C2×#11924007C2311yescharacteristic
257C2×#11924007C2311yescharacteristic
258C2×#11924007C2311yescharacteristic
259C2×#11924007C2311yescharacteristic
260C2×#11924007C2311yescharacteristic
261C2×#11924007C2311yescharacteristic
262C2×#11924007C2311yescharacteristic
263C4⋊C4×D73—24no—
264C2×C22⋊Dic73C2311yescharacteristic
265C2×C22⋊Dic73C2311yescharacteristic
266C2×C22⋊Dic73C2311yescharacteristic
267C2×C22⋊Dic73C2311yescharacteristic
268C2×C22⋊Dic73C2311yescharacteristic
269C2×C22⋊Dic73C2311yescharacteristic
270C2×C22⋊Dic73C2311yescharacteristic
271C2×C22⋊Dic73C2311yescharacteristic
272C2×C22⋊Dic73C2311yescharacteristic
273C2×C22⋊Dic73C2311yescharacteristic
274C2×C22⋊Dic73C2311yescharacteristic
275C2×C22⋊Dic73C2311yescharacteristic
276C2×C22⋊Dic73C2311yescharacteristic
277C2×C22⋊Dic73C2311yescharacteristic
278C2×C22⋊Dic73C2311yescharacteristic
279C2×C22⋊Dic73C2311yescharacteristic
280C2×#11924005C2311yescharacteristic
281C2×#11924005C2311yescharacteristic
282C2×#11924005C2311yescharacteristic
283C2×#11924005C2311yescharacteristic
284C2×#11924005C2311yescharacteristic
285C2×#11924005C2311yescharacteristic
286C2×#11924005C2311yescharacteristic
287C2×#11924005C2311yescharacteristic
288C2×#11924005C2311yescharacteristic
289C2×#11924005C2311yescharacteristic
290C2×#11924005C2311yescharacteristic
291C2×#11924005C2311yescharacteristic
292C2×#11924005C2311yescharacteristic
293C2×#11924005C2311yescharacteristic
294C2×#11924005C2311yescharacteristic
295C2×#11924005C2311yescharacteristic
296C2×#11924005C2311yescharacteristic
297C2×#11924005C2311yescharacteristic
298C2×#11924005C2311yescharacteristic
299C2×#11924005C2311yescharacteristic
300C2×#11924005C2311yescharacteristic
301C2×#11924005C2311yescharacteristic
302C2×#11924005C2311yescharacteristic
303C22⋊C4×D73—24no—
304C22⋊C4×D73—24no—
305C22⋊C4×D73—42no—
306C2×C4×Dic73C2311yescharacteristic
307C2×C4×Dic73C2311yescharacteristic
308C2×C4×Dic73C2311yescharacteristic
309C2×C4×Dic73C2311yescharacteristic
310C2×C4×Dic73C2311yescharacteristic
311C2×C4×Dic73C2311yescharacteristic
312C2×C4×Dic73C2311yescharacteristic
313C2×C4×Dic73C2311yescharacteristic
314C2×C4×Dic73C2311yescharacteristic
315C2×C4×Dic73C2311yescharacteristic
316C2×C4×Dic73C2311yescharacteristic
317C2×C4×Dic73C2311yescharacteristic
318C42×D73—42no—
319C42×D73—42no—
320#14556498C2311yescharacteristic
321#14556498C2311yescharacteristic
322#14556498C2311yescharacteristic
323#14556498C2311yescharacteristic
324#14556498C2311yescharacteristic
325#14556498C2311yescharacteristic
326#14556498C2311yescharacteristic
327#14556498C2311yescharacteristic
328#14556498C2311yescharacteristic
329#14556498C2311yescharacteristic
330#14556498C2311yescharacteristic
331#14556498C2311yescharacteristic
332#14556498C2311yescharacteristic
333#14556498C2311yescharacteristic
334#14556498C2311yescharacteristic
335#14556498C2311yescharacteristic
336#14556498C2311yescharacteristic
337#14556498C2311yescharacteristic
338#14556498C2311yescharacteristic
339#14556498C2311yescharacteristic
340#14556498C2311yescharacteristic
341#14556498C2311yescharacteristic
342#14556498C2311yescharacteristic
343#14556498C2311yescharacteristic
344#14556498C2311yescharacteristic
345#14556498C2311yescharacteristic
346C22×Q8×C73C2311yescharacteristic
347C22×D4×C73C2311yescharacteristic
348C22×D4×C73C2311yescharacteristic
349C22×D4×C73C2311yescharacteristic
350C23×C4×C73C2311yescharacteristic
351C23×C4×C73C2311yescharacteristic
352#124×C73—42no—
353#123×C73—24no—
354C22⋊Q8×C73—24no—
355C4×D4×C73—42no—
356C2×C4⋊C4×C73C2311yescharacteristic
357C2×C4⋊C4×C73C2311yescharacteristic
358C2×C4⋊C4×C73C2311yescharacteristic
359C2×C4⋊C4×C73C2311yescharacteristic
360C2×C4⋊C4×C73C2311yescharacteristic
361C2×C4⋊C4×C73C2311yescharacteristic
362C2×C4⋊C4×C73C2311yescharacteristic
363C2×C22⋊C4×C73C2311yescharacteristic
364C2×C22⋊C4×C73C2311yescharacteristic
365C2×C22⋊C4×C73C2311yescharacteristic
366C2×C22⋊C4×C73C2311yescharacteristic
367C2×C22⋊C4×C73C2311yescharacteristic
368C2×C22⋊C4×C73C2311yescharacteristic
369C2×C22⋊C4×C73C2311yescharacteristic
370C2×C22⋊C4×C73C2311yescharacteristic
371C2×C22⋊C4×C73C2311yescharacteristic
372C2×C22⋊C4×C73C2311yescharacteristic
373C2×C22⋊C4×C73C2311yescharacteristic
374C2×C22⋊C4×C73C2311yescharacteristic
375C2×C22⋊C4×C73C2311yescharacteristic
376C2×C42×C73C2311yescharacteristic
377C2×C42×C73C2311yescharacteristic
378C2×C42×C73C2311yescharacteristic
379#95×C73C2311yescharacteristic
380#95×C73C2311yescharacteristic
381#95×C73C2311yescharacteristic
382#95×C73C2311yescharacteristic
383#95×C73C2311yescharacteristic
384#95×C73C2311yescharacteristic
385C23×D73—22no—
386C23×D73—22no—
387C23×D73—22no—
388C23×D73—41no—
389C23×D73—41no—
390C23×D73—41no—
391C23×D73—41no—
392C23×D73C2411yescharacteristic
393C23×D73C2411yescharacteristic
394C23×D73C2411yescharacteristic
395C2×Dic146—22no—
396C2×Dic146—41no—
397C2×Dic146—41no—
398C2×D292—22no—
399C2×D292—22no—
400C2×D292—22no—
401C2×D292—41no—
402C2×D292—41no—
403C2×D292C2×D414yes—
404C2×C22⋊D73—22no—
405C2×C22⋊D73—22no—
406C2×C22⋊D73—22no—
407C2×C22⋊D73—22no—
408C2×C22⋊D73—22no—
409C2×C22⋊D73—22no—
410C2×C22⋊D73—22no—
411C2×C22⋊D73—22no—
412C2×C22⋊D73—22no—
413C2×C22⋊D73—22no—
414C2×C22⋊D73—22no—
415C2×C22⋊D73—41no—
416C2×C22⋊D73—41no—
417C2×C22⋊D73—41no—
418C2×C22⋊D73—41no—
419C2×C22⋊D73—41no—
420C2×C22⋊D73—41no—
421C2×C22⋊D73—41no—
422C2×C22⋊D73—41no—
423C2×C22⋊D73—41no—
424C2×C22⋊D73—41no—
425C22×Dic73C2411yescharacteristic
426C22×Dic73C2411yescharacteristic
427C22×Dic73C2411yescharacteristic
428C22×Dic73C2411yescharacteristic
429C22×Dic73C2411yescharacteristic
430C22×Dic73C2411yescharacteristic
431C22×Dic73C2411yescharacteristic
432C22×Dic73C2411yescharacteristic
433C22×Dic73C2411yescharacteristic
434C22×Dic73C2411yescharacteristic
435C22×Dic73C2411yescharacteristic
436C22×Dic73C2411yescharacteristic
437C22×Dic73C2411yescharacteristic
438C2×C4×D73—22no—
439C2×C4×D73—22no—
440C2×C4×D73—22no—
441C2×C4×D73—22no—
442C2×C4×D73—22no—
443C2×C4×D73—22no—
444C2×C4×D73—22no—
445C2×C4×D73—22no—
446C2×C4×D73—22no—
447C2×C4×D73—22no—
448C2×C4×D73—41no—
449C2×C4×D73—41no—
450C2×C4×D73—41no—
451C2×C4×D73—41no—
452C2×C4×D73—41no—
453C2×C4×D73—41no—
454C2×C4×D73—41no—
455C2×C4×D73—41no—
456C2×C4×D73—41no—
457C2×C4×D73—41no—
458C2×C4×D73—41no—
459C2×C4×D73—41no—
460C2×C4×D73—41no—
461C2×C4×D73—41no—
462C2×C4×D73C2×D414yes—
463C2×C4×D73C2×D414yes—
464C2×C4×D73#4114yes—
465C4⋊Dic73—22no—
466C4⋊Dic73—22no—
467C4⋊Dic73—22no—
468C4⋊Dic73—22no—
469C4⋊Dic73—22no—
470C4⋊Dic73—22no—
471C4⋊Dic73—22no—
472C4⋊Dic73—22no—
473C4⋊Dic73—41no—
474C4⋊Dic73—41no—
475#11924007—22no—
476#11924007—22no—
477#11924007—22no—
478#11924007—22no—
479#11924007—22no—
480#11924007—22no—
481#11924007—22no—
482#11924007—22no—
483#11924007—22no—
484#11924007—22no—
485#11924007—22no—
486#11924007—41no—
487#11924007—41no—
488C22⋊Dic73—22no—
489C22⋊Dic73—22no—
490C22⋊Dic73—22no—
491C22⋊Dic73—22no—
492C22⋊Dic73—22no—
493C22⋊Dic73—22no—
494C22⋊Dic73—22no—
495C22⋊Dic73—22no—
496C22⋊Dic73—22no—
497C22⋊Dic73—22no—
498C22⋊Dic73—41no—
499C22⋊Dic73—41no—
500C22⋊Dic73—41no—
501C22⋊Dic73—41no—
502C22⋊Dic73—41no—
503C22⋊Dic73—41no—
504#11924005—22no—
505#11924005—22no—
506#11924005—22no—
507#11924005—22no—
508#11924005—22no—
509#11924005—22no—
510#11924005—22no—
511#11924005—22no—
512#11924005—22no—
513#11924005—22no—
514#11924005—22no—
515#11924005—22no—
516#11924005—22no—
517#11924005—22no—
518#11924005—22no—
519#11924005—22no—
520#11924005—22no—
521#11924005—41no—
522#11924005—41no—
523#11924005—41no—
524#11924005C2×D414yes—
525#11924005C2×D414yes—
526#11924005#4114yes—
527C4×Dic73—22no—
528C4×Dic73—22no—
529C4×Dic73—22no—
530C4×Dic73—22no—
531C4×Dic73—41no—
532C4×Dic73—41no—
533C4×Dic73—41no—
534C4×Dic73—41no—
535C4×Dic73—41no—
536C4×Dic73—41no—
537C4×Dic73—41no—
538C4×Dic73C2×D414yes—
539C24×C73C2411yescharacteristic
540C24×C73C2411yescharacteristic
541C24×C73C2411yescharacteristic
542C2×Q8×C73—22no—
543C2×Q8×C73—41no—
544C2×Q8×C73—41no—
545C2×D4×C73—22no—
546C2×D4×C73—22no—
547C2×D4×C73—22no—
548C2×D4×C73—41no—
549C2×D4×C73—41no—
550C2×D4×C73—41no—
551C2×D4×C73—41no—
552C2×D4×C73—41no—
553C2×D4×C73—41no—
554C22×C4×C73—22no—
555C22×C4×C73—22no—
556C22×C4×C73—41no—
557C22×C4×C73—41no—
558C22×C4×C73—41no—
559C22×C4×C73—41no—
560C22×C4×C73C2411yescharacteristic
561C22×C4×C73C2411yescharacteristic
562C22×C4×C73C2411yescharacteristic
563C22×C4×C73C2411yescharacteristic
564C22×C4×C73C2411yescharacteristic
565C22×C4×C73C2411yescharacteristic
566C22×C4×C73C2411yescharacteristic
567C22×C4×C73C2411yescharacteristic
568C22×C4×C73C2411yescharacteristic
569C22×C4×C73C2411yescharacteristic
570C22×C4×C73C2411yescharacteristic
571C22×C4×C73C2411yescharacteristic
572C4⋊C4×C73—22no—
573C4⋊C4×C73—22no—
574C4⋊C4×C73—22no—
575C4⋊C4×C73—22no—
576C4⋊C4×C73—41no—
577C4⋊C4×C73—41no—
578C4⋊C4×C73C2×D414yes—
579C22⋊C4×C73—22no—
580C22⋊C4×C73—22no—
581C22⋊C4×C73—22no—
582C22⋊C4×C73—22no—
583C22⋊C4×C73—22no—
584C22⋊C4×C73—22no—
585C22⋊C4×C73—22no—
586C22⋊C4×C73—22no—
587C22⋊C4×C73—22no—
588C22⋊C4×C73—22no—
589C22⋊C4×C73—41no—
590C22⋊C4×C73—41no—
591C22⋊C4×C73—41no—
592C42×C73—22no—
593C42×C73—22no—
594C42×C73—22no—
595C23×C73—21no—
596C23×C73—21no—
597C23×C73—21no—
598C23×C73—21no—
599C23×C73—21no—
600C23×C73—21no—
601C23×C73—21no—
602C23×C73—21no—
603C23×C73—21no—
604C23×C73—21no—
605C23×C73—21no—
606C23×C73—21no—
607C23×C73—21no—
608C23×C73—21no—
609C23×C73—21no—
610C23×C73—21no—
611C23×C73—21no—
612C23×C73—21no—
613C23×C73—21no—
614C23×C73—21no—
615C23×C73—21no—
616C23×C73C2511yescharacteristic
617C22×D73—21no—
618C22×D73—21no—
619C22×D73—21no—
620C22×D73—21no—
621C22×D73—21no—
622C22×D73—21no—
623C22×D73—21no—
624C22×D73—21no—
625C22×D73—21no—
626C22×D73—21no—
627C22×D73—21no—
628C22×D73—21no—
629C22×D73—21no—
630C22×D73—21no—
631C22×D73—21no—
632C22×D73—21no—
633C22×D73—21no—
634C22×D73—44no—
635C22×D73—44no—
636C22×D73—44no—
637C22×D73—82no—
638C22×D73—82no—
639C22×D73—82no—
640C22×D73—82no—
641C22×D73C22×D412yes—
642C22×D73C22×D412yes—
643C22×D73C2×#4112yes—
644C22×D73C2×#4112yes—
645Q8×C73—82no—
646D4×C73—44no—
647D4×C73—82no—
648D4×C73—82no—
649C2×C4×C73—21no—
650C2×C4×C73—21no—
651C2×C4×C73—21no—
652C2×C4×C73—21no—
653C2×C4×C73—21no—
654C2×C4×C73—21no—
655C2×C4×C73—21no—
656C2×C4×C73—21no—
657C2×C4×C73—21no—
658C2×C4×C73—21no—
659C2×C4×C73—21no—
660C2×C4×C73—21no—
661C2×C4×C73—21no—
662C2×C4×C73—21no—
663C2×C4×C73—21no—
664C2×C4×C73—21no—
665C2×C4×C73—21no—
666C2×C4×C73—21no—
667C2×C4×C73—21no—
668C2×C4×C73—21no—
669C2×C4×C73—21no—
670C2×C4×C73—21no—
671C2×C4×C73—21no—
672C2×C4×C73—21no—
673C2×C4×C73—21no—
674C2×C4×C73—21no—
675C2×C4×C73—21no—
676C2×C4×C73—21no—
677C2×C4×C73—21no—
678C2×C4×C73—21no—
679C2×C4×C73—82no—
680C2×C4×C73—82no—
681C2×C4×C73C22×D412yes—
682C2×C4×C73C22×D412yes—
683C2×C4×C73C22×D412yes—
684C2×C4×C73C2×#4112yes—
685C2×C4×C73C2×#4112yes—
686C2×C4×C73H(5,𝔽2)12yes—
687C22⋊D73—44no—
688C22⋊D73—44no—
689C22⋊D73—82no—
690C22⋊D73—82no—
691C22⋊D73—82no—
692C22⋊D73—82no—
693C22⋊D73—82no—
694C2×Dic73—21no—
695C2×Dic73—21no—
696C2×Dic73—21no—
697C2×Dic73—21no—
698C2×Dic73—21no—
699C2×Dic73—21no—
700C2×Dic73—21no—
701C2×Dic73—21no—
702C2×Dic73—21no—
703C2×Dic73—21no—
704C2×Dic73—21no—
705C2×Dic73—21no—
706C2×Dic73—21no—
707C2×Dic73—21no—
708C2×Dic73—21no—
709C2×Dic73—21no—
710C2×Dic73—21no—
711C2×Dic73—21no—
712C2×Dic73—21no—
713C2×Dic73—21no—
714C2×Dic73—21no—
715C2×Dic73—21no—
716C2×Dic73—21no—
717C2×Dic73—21no—
718C2×Dic73—21no—
719C2×Dic73—21no—
720C2×Dic73—21no—
721C2×Dic73—21no—
722C2×Dic73—21no—
723C2×Dic73—21no—
724C2×Dic73—21no—
725C2×Dic73—21no—
726C2×Dic73—21no—
727C2×Dic73—21no—
728C2×Dic73—21no—
729C2×Dic73C22×D412yes—
730C2×Dic73C22×D412yes—
731C2×Dic73C2×#4112yes—
732C2×Dic73C2×#4112yes—
733D292—28no—
734D292—82no—
735C4×D73—44no—
736C4×D73—44no—
737C4×D73—44no—
738C4×D73—44no—
739C4×D73—44no—
740C4×D73—44no—
741C4×D73—44no—
742C4×D73—82no—
743C4×D73—82no—
744Dic146—82no—
745C22×C73—41no—
746C22×C73—41no—
747C22×C73—41no—
748C22×C73—41no—
749C22×C73—41no—
750C22×C73—41no—
751C22×C73—41no—
752C22×C73—41no—
753C22×C73—41no—
754C22×C73—41no—
755C22×C73—41no—
756C22×C73—41no—
757C22×C73—41no—
758C22×C73—41no—
759C22×C73—41no—
760C22×C73—41no—
761C22×C73—41no—
762C22×C73—41no—
763C22×C73—41no—
764C22×C73—41no—
765C22×C73—41no—
766C22×C73C23×D411yescharacteristic
767C22×C73C22×#4111yescharacteristic
768C22×C73C22×#4111yescharacteristic
769C22×C73C2×H(5,𝔽2)11yescharacteristic
770C22×C73#58511yescharacteristic
771C22×C73#58511yescharacteristic
772C22×C73#58511yescharacteristic
773C2×D73—22no—
774C2×D73—22no—
775C2×D73—22no—
776C2×D73—22no—
777C2×D73—22no—
778C2×D73—22no—
779C2×D73—22no—
780C2×D73—22no—
781C2×D73—22no—
782C2×D73—41no—
783C2×D73—41no—
784C2×D73—41no—
785C2×D73—41no—
786C2×D73—41no—
787C2×D73—41no—
788C2×D73—41no—
789C2×D73—41no—
790C2×D73—41no—
791C2×D73—41no—
792C2×D73—41no—
793C2×D73—88no—
794C2×D73#53214yes—
795C4×C73—22no—
796C4×C73—22no—
797C4×C73—22no—
798C4×C73—22no—
799C4×C73—22no—
800C4×C73—22no—
801C4×C73—41no—
802C4×C73—41no—
803C4×C73—41no—
804C4×C73—41no—
805C4×C73—41no—
806C4×C73—41no—
807Dic73—22no—
808Dic73—22no—
809Dic73—22no—
810Dic73—22no—
811Dic73—41no—
812Dic73—41no—
813Dic73—41no—
814Dic73—41no—
815Dic73—41no—
816Dic73—41no—
817Dic73—41no—
818Dic73—41no—
819Dic73—41no—
820#35009—731nomaximal, Sylow
821C2×C73—81no—
822C2×C73—81no—
823C2×C73—81no—
824C2×C73C2×#53211yescharacteristic
825C2×C73#345511yescharacteristic
826C2×C73#345911yescharacteristic
827C2×C73#349611yescharacteristic
828C2×C73#350011yescharacteristic
829C2×C73#351311yescharacteristic
830C2×C73#352111yescharacteristic
831D73—24no—
832D73—42no—
833D73—81no—
834C2×#539—731no—
835C2×#538—731no—
836#2861—731no—
837#2860—731no—
838#2854—731no—
839#2850—731no—
840#2664—731no—
841#2663—731no—
842#2662—731no—
843#2661—731no—
844#2560—731no—
845#2559—731no—
846#2558—731no—
847#2557—731no—
848#2549—731no—
849#2543—731no—
850#2539—731no—
851#2534—731no—
852#2521—731no—
853#2519—731no—
854#2488—731no—
855#2472—731no—
856#2464—731no—
857#2461D7311yescharacteristic, complemented
858#2425—731no—
859#2424—731no—
860#2322—731no—
861#2321—731no—
862C4×#121—731no—
863C2×#388—731no—
864C42×D4—731no—
865C73#3500911yescharacteristic, complemented, Sylow
866#539—1468no—
867#538—1468no—
868C2×#126—731no—
869C2×#126—731no—
870C2×#126—731no—
871C2×#126—731no—
872C2×#125—731no—
873C2×#125—731no—
874C2×#124—731no—
875C2×#124—731no—
876C2×#124C2×D7311yescharacteristic
877C2×#123—731no—
878C2×#123—731no—
879C2×#123—731no—
880C2×#123—731no—
881C2×#123—731no—
882C2×#123—731no—
883C2×#123C2×D7311yescharacteristic
884C2×C22⋊Q8—731no—
885C2×C22⋊Q8—731no—
886C2×C22⋊Q8—731no—
887C2×C22⋊Q8C2×D7311yescharacteristic, complemented
888C2×#121—731no—
889C2×#121—731no—
890C2×#121—731no—
891C2×#121—731no—
892C2×#121—731no—
893C2×#121—731no—
894C2×#120—731no—
895C2×#120—731no—
896C2×#120—731no—
897C2×C4×D4—731no—
898C2×C4×D4—731no—
899C2×C4×D4—731no—
900C2×C4×D4—731no—
901C2×C4×D4—731no—
902C2×C4×D4C2×D7311yescharacteristic, complemented
903C22×C4⋊C4—731no—
904C22×C22⋊C4—731no—
905C22×C22⋊C4—731no—
906C22×C22⋊C4—731no—
907C22×C42—731no—
908C22×C42—731no—
909#400—731no—
910#400—731no—
911#399—731no—
912#399—731no—
913#398—731no—
914#398—731no—
915#398—731no—
916#398—731no—
917#397—731no—
918#397—731no—
919#397—731no—
920#397—731no—
921#396—731no—
922#396—731no—
923#396—731no—
924#396C2×D7311yescharacteristic
925#395—731no—
926#395C2×D7311yescharacteristic, complemented
927#394—731no—
928#394—731no—
929#394—731no—
930#394—731no—
931#394—731no—
932#394—731no—
933#394—731no—
934#394C2×D7311yescharacteristic, complemented
935#393—731no—
936#393—731no—
937#392—731no—
938#392—731no—
939#392—731no—
940#392C2×D7311yescharacteristic
941#391—731no—
942#391—731no—
943#391—731no—
944#390—731no—
945#390—731no—
946#390—731no—
947#390—731no—
948#390—731no—
949#390—731no—
950#390—731no—
951#390—731no—
952#390C2×D7311yescharacteristic
953#389—731no—
954#389—731no—
955#389—731no—
956#389—731no—
957#389—731no—
958#389—731no—
959#388—731no—
960#388—731no—
961#388—731no—
962#388—731no—
963#388—731no—
964#388—731no—
965#388—731no—
966#388—731no—
967#388—731no—
968#388—731no—
969#388—731no—
970#388—731no—
971#388—731no—
972#388—731no—
973#388—731no—
974#388—731no—
975#388—731no—
976#388—731no—
977#388—731no—
978#388—731no—
979#388—731no—
980#388—731no—
981#388—731no—
982#388C2×D7311yescharacteristic
983#388C2×D7311yescharacteristic, complemented
984#388C2×D7311yescharacteristic, complemented
985#387—731no—
986#387—731no—
987#386—731no—
988#386—731no—
989#386—731no—
990#386—731no—
991#386—731no—
992#386—731no—
993#386—731no—
994#386—731no—
995#386—731no—
996#386—731no—
997#386—731no—
998#386C2×D7311yescharacteristic
999#385—731no—
1000#385—731no—
1001#385—731no—
1002#385C2×D7311yescharacteristic, complemented
1003#382—731no—
1004#381—731no—
1005#380—731no—
1006#380—731no—
1007#379—731no—
1008C4×C4⋊C4—731no—
1009C4×C4⋊C4—731no—
1010C4×C4⋊C4—731no—
1011C4×C4⋊C4C2×D7311yescharacteristic, complemented
1012C4×C22⋊C4—731no—
1013C4×C22⋊C4—731no—
1014C4×C22⋊C4—731no—
1015C4×C22⋊C4—731no—
1016C4×C22⋊C4—731no—
1017C4×C22⋊C4—731no—
1018C4×C22⋊C4—731no—
1019C4×C22⋊C4—731no—
1020C2×#95—731no—
1021C2×#95—731no—
1022C43—731no—
1023C25—731no—
1024C22×Q8—731no—
1025C22×Q8C22×D7311yescharacteristic
1026C22×D4—731no—
1027C22×D4—731no—
1028C22×D4—731no—
1029C22×D4—731no—
1030C22×D4—731no—
1031C22×D4—731no—
1032C22×D4—731no—
1033C22×D4—731no—
1034C22×D4—731no—
1035C22×D4C22×D7311yescharacteristic
1036C22×D4C22×D7311yescharacteristic
1037C22×D4C22×D7311yescharacteristic
1038C23×C4—731no—
1039C23×C4—731no—
1040C23×C4—731no—
1041C23×C4—731no—
1042C23×C4—731no—
1043C23×C4—731no—
1044C23×C4—731no—
1045C23×C4—731no—
1046C23×C4—731no—
1047C23×C4C22×D7311yescharacteristic
1048C23×C4C22×D7311yescharacteristic
1049#126—1464no—
1050#126—1464no—
1051#126—1464no—
1052#126—1464no—
1053#125—1464no—
1054#125—1464no—
1055#124—42no—
1056#124—1464no—
1057#124—1464no—
1058#123—24no—
1059#123—1464no—
1060#123—1464no—
1061#123—1464no—
1062#123—1464no—
1063#123—1464no—
1064#123—1464no—
1065C22⋊Q8—24no—
1066C22⋊Q8—1464no—
1067C22⋊Q8—1464no—
1068C22⋊Q8—1464no—
1069#121—2922no—
1070#121—1464no—
1071#121—1464no—
1072#121—1464no—
1073#121—1464no—
1074#121—1464no—
1075#120—1464no—
1076#120—1464no—
1077#120—1464no—
1078C4×D4—42no—
1079C4×D4—738no—
1080C4×D4—1464no—
1081C4×D4—1464no—
1082C4×D4—1464no—
1083C4×D4—1464no—
1084C2×C4⋊C4—731no—
1085C2×C4⋊C4—731no—
1086C2×C4⋊C4—731no—
1087C2×C4⋊C4—731no—
1088C2×C4⋊C4—731no—
1089C2×C4⋊C4—731no—
1090C2×C4⋊C4—731no—
1091C2×C4⋊C4—731no—
1092C2×C4⋊C4—731no—
1093C2×C4⋊C4—731no—
1094C2×C4⋊C4—731no—
1095C2×C4⋊C4—731no—
1096C2×C4⋊C4—731no—
1097C2×C4⋊C4—731no—
1098C2×C4⋊C4—731no—
1099C2×C4⋊C4—731no—
1100C2×C4⋊C4—731no—
1101C2×C4⋊C4—731no—
1102C2×C4⋊C4—731no—
1103C2×C4⋊C4—731no—
1104C2×C4⋊C4—731no—
1105C2×C4⋊C4—731no—
1106C2×C4⋊C4—731no—
1107C2×C4⋊C4—1464no—
1108C2×C4⋊C4C22×D7311yescharacteristic
1109C2×C4⋊C4C22×D7311yescharacteristic
1110C2×C4⋊C4C22×D7311yescharacteristic
1111C2×C4⋊C4C22×D7311yescharacteristic
1112C2×C4⋊C4C22×D7311yescharacteristic
1113C2×C4⋊C4C22×D7311yescharacteristic
1114C2×C4⋊C4C22×D7311yescharacteristic
1115C2×C22⋊C4—2922no—
1116C2×C22⋊C4—731no—
1117C2×C22⋊C4—731no—
1118C2×C22⋊C4—731no—
1119C2×C22⋊C4—731no—
1120C2×C22⋊C4—731no—
1121C2×C22⋊C4—731no—
1122C2×C22⋊C4—731no—
1123C2×C22⋊C4—731no—
1124C2×C22⋊C4—731no—
1125C2×C22⋊C4—731no—
1126C2×C22⋊C4—731no—
1127C2×C22⋊C4—731no—
1128C2×C22⋊C4—731no—
1129C2×C22⋊C4—731no—
1130C2×C22⋊C4—731no—
1131C2×C22⋊C4—731no—
1132C2×C22⋊C4—731no—
1133C2×C22⋊C4—731no—
1134C2×C22⋊C4—731no—
1135C2×C22⋊C4—731no—
1136C2×C22⋊C4—731no—
1137C2×C22⋊C4—731no—
1138C2×C22⋊C4—731no—
1139C2×C22⋊C4—731no—
1140C2×C22⋊C4—731no—
1141C2×C22⋊C4—731no—
1142C2×C22⋊C4—731no—
1143C2×C22⋊C4—731no—
1144C2×C22⋊C4—731no—
1145C2×C22⋊C4—731no—
1146C2×C22⋊C4—731no—
1147C2×C22⋊C4—731no—
1148C2×C22⋊C4—731no—
1149C2×C22⋊C4—731no—
1150C2×C22⋊C4—731no—
1151C2×C22⋊C4—731no—
1152C2×C22⋊C4—731no—
1153C2×C22⋊C4—731no—
1154C2×C22⋊C4—731no—
1155C2×C22⋊C4—1464no—
1156C2×C22⋊C4—1464no—
1157C2×C22⋊C4C22×D7311yescharacteristic
1158C2×C22⋊C4C22×D7311yescharacteristic
1159C2×C22⋊C4C22×D7311yescharacteristic
1160C2×C22⋊C4C22×D7311yescharacteristic
1161C2×C22⋊C4C22×D7311yescharacteristic
1162C2×C22⋊C4C22×D7311yescharacteristic
1163C2×C22⋊C4C22×D7311yescharacteristic
1164C2×C22⋊C4C22×D7311yescharacteristic
1165C2×C22⋊C4C22×D7311yescharacteristic
1166C2×C22⋊C4C22×D7311yescharacteristic
1167C2×C22⋊C4C22×D7311yescharacteristic
1168C2×C22⋊C4C22×D7311yescharacteristic
1169C2×C22⋊C4C22×D7311yescharacteristic
1170C2×C42—2922no—
1171C2×C42—2922no—
1172C2×C42—731no—
1173C2×C42—731no—
1174C2×C42—731no—
1175C2×C42—731no—
1176C2×C42—731no—
1177C2×C42—731no—
1178C2×C42—731no—
1179C2×C42—731no—
1180C2×C42—731no—
1181C2×C42—731no—
1182C2×C42—731no—
1183C2×C42—731no—
1184C2×C42C22×D7311yescharacteristic
1185C2×C42C22×D7311yescharacteristic
1186C2×C42C22×D7311yescharacteristic
1187#95—731no—
1188#95—731no—
1189#95—731no—
1190#95—731no—
1191#95—731no—
1192#95—731no—
1193#95—731no—
1194#95—731no—
1195#95—731no—
1196#95—731no—
1197#95—731no—
1198#95—731no—
1199#95—731no—
1200#95—731no—
1201#95—731no—
1202#95—731no—
1203#95—731no—
1204#95—731no—
1205#95—731no—
1206#95—731no—
1207#95—731no—
1208#95—731no—
1209#95—731no—
1210#95—731no—
1211#95—731no—
1212#95—731no—
1213#95C22×D7311yescharacteristic
1214#95C22×D7311yescharacteristic
1215#95C22×D7311yescharacteristic
1216#95C22×D7311yescharacteristic
1217#95C22×D7311yescharacteristic
1218#95C22×D7311yescharacteristic
1219C24—2921no—
1220C24—2921no—
1221C24—2921no—
1222C24—2921no—
1223C24—731no—
1224C24—731no—
1225C24—731no—
1226C24—1462no—
1227C24—1462no—
1228C24—1462no—
1229C24C23×D7311yescharacteristic
1230C24C23×D7311yescharacteristic
1231C24C23×D7311yescharacteristic
1232C2×Q8—22no—
1233C2×Q8—41no—
1234C2×Q8—41no—
1235C2×Q8—2921no—
1236C2×Q8—2921no—
1237C2×Q8—1462no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—2921no—
1248C2×D4—2921no—
1249C2×D4—2921no—
1250C2×D4—2921no—
1251C2×D4—2921no—
1252C2×D4—2921no—
1253C2×D4—2921no—
1254C2×D4—2921no—
1255C2×D4—2921no—
1256C2×D4—2921no—
1257C2×D4—2921no—
1258C2×D4—2921no—
1259C2×D4—734no—
1260C2×D4—1462no—
1261C2×D4—1462no—
1262C2×D4—1462no—
1263C2×D4—1462no—
1264C2×D4—1462no—
1265C2×D4—1462no—
1266C2×D4—1462no—
1267C2×D4—1462no—
1268C2×D4—1462no—
1269C2×D4—1462no—
1270C2×D4—1462no—
1271C2×D4—1462no—
1272C2×D4—1462no—
1273C2×D4—1462no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—2921no—
1281C22×C4—2921no—
1282C22×C4—2921no—
1283C22×C4—2921no—
1284C22×C4—2921no—
1285C22×C4—2921no—
1286C22×C4—2921no—
1287C22×C4—2921no—
1288C22×C4—2921no—
1289C22×C4—2921no—
1290C22×C4—2921no—
1291C22×C4—2921no—
1292C22×C4—2921no—
1293C22×C4—2921no—
1294C22×C4—734no—
1295C22×C4—734no—
1296C22×C4—734no—
1297C22×C4—731no—
1298C22×C4—731no—
1299C22×C4—731no—
1300C22×C4—731no—
1301C22×C4—731no—
1302C22×C4—731no—
1303C22×C4—731no—
1304C22×C4—731no—
1305C22×C4—731no—
1306C22×C4—731no—
1307C22×C4—731no—
1308C22×C4—731no—
1309C22×C4—731no—
1310C22×C4—1462no—
1311C22×C4—1462no—
1312C22×C4—1462no—
1313C22×C4—1462no—
1314C22×C4—1462no—
1315C22×C4—1462no—
1316C22×C4—1462no—
1317C22×C4—1462no—
1318C22×C4—1462no—
1319C22×C4—1462no—
1320C22×C4C23×D7311yescharacteristic
1321C22×C4C23×D7311yescharacteristic
1322C22×C4C23×D7311yescharacteristic
1323C22×C4C23×D7311yescharacteristic
1324C22×C4C23×D7311yescharacteristic
1325C22×C4C23×D7311yescharacteristic
1326C22×C4C23×D7311yescharacteristic
1327C22×C4C23×D7311yescharacteristic
1328C22×C4C23×D7311yescharacteristic
1329C22×C4C23×D7311yescharacteristic
1330C22×C4C23×D7311yescharacteristic
1331C22×C4C23×D7311yescharacteristic
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—41no—
1337C4⋊C4—41no—
1338C4⋊C4—2921no—
1339C4⋊C4—2921no—
1340C4⋊C4—2921no—
1341C4⋊C4—2921no—
1342C4⋊C4—1462no—
1343C4⋊C4—1462no—
1344C4⋊C4—1462no—
1345C4⋊C4—1462no—
1346C4⋊C4—1462no—
1347C4⋊C4—1462no—
1348C4⋊C4—1462no—
1349C4⋊C4—1462no—
1350C4⋊C4—1462no—
1351C4⋊C4—1462no—
1352C4⋊C4—1462no—
1353C4⋊C4—1462no—
1354C4⋊C4—1462no—
1355C4⋊C4—1462no—
1356C4⋊C4—1462no—
1357C4⋊C4—1462no—
1358C4⋊C4—1462no—
1359C4⋊C4—1462no—
1360C4⋊C4—1462no—
1361C4⋊C4D4×D7314yes—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—22no—
1370C22⋊C4—22no—
1371C22⋊C4—22no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—2921no—
1376C22⋊C4—2921no—
1377C22⋊C4—2921no—
1378C22⋊C4—2921no—
1379C22⋊C4—2921no—
1380C22⋊C4—2921no—
1381C22⋊C4—2921no—
1382C22⋊C4—2921no—
1383C22⋊C4—2921no—
1384C22⋊C4—734no—
1385C22⋊C4—734no—
1386C22⋊C4—734no—
1387C22⋊C4—1462no—
1388C22⋊C4—1462no—
1389C22⋊C4—1462no—
1390C22⋊C4—1462no—
1391C22⋊C4—1462no—
1392C22⋊C4—1462no—
1393C22⋊C4—1462no—
1394C22⋊C4—1462no—
1395C22⋊C4—1462no—
1396C22⋊C4—1462no—
1397C22⋊C4—1462no—
1398C22⋊C4—1462no—
1399C22⋊C4—1462no—
1400C22⋊C4—1462no—
1401C22⋊C4—1462no—
1402C22⋊C4—1462no—
1403C22⋊C4—1462no—
1404C22⋊C4—1462no—
1405C22⋊C4—1462no—
1406C22⋊C4—1462no—
1407C22⋊C4—1462no—
1408C22⋊C4—1462no—
1409C22⋊C4—1462no—
1410C22⋊C4—1462no—
1411C22⋊C4—1462no—
1412C22⋊C4—1462no—
1413C22⋊C4—1462no—
1414C42—22no—
1415C42—22no—
1416C42—22no—
1417C42—2921no—
1418C42—2921no—
1419C42—2921no—
1420C42—2921no—
1421C42—2921no—
1422C42—2921no—
1423C42—2921no—
1424C42—734no—
1425C42—1462no—
1426C42—1462no—
1427C42—1462no—
1428C42—1462no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—2924no—
1451C23—2924no—
1452C23—2924no—
1453C23—5842no—
1454C23—5842no—
1455C23—5842no—
1456C23—5842no—
1457C23—732no—
1458C23—732no—
1459C23—732no—
1460C23—732no—
1461C23—1461no—
1462C23—1461no—
1463C23—1461no—
1464C23—1461no—
1465C23—1461no—
1466C23—1461no—
1467C23—1461no—
1468C23—1461no—
1469C23—1461no—
1470C23—1461no—
1471C23—1461no—
1472C23—1461no—
1473C23—1461no—
1474C23—1461no—
1475C23—1461no—
1476C23—1461no—
1477C23—1461no—
1478C23C24×D7311yescharacteristic
1479Q8—82no—
1480Q8—5842no—
1481D4—44no—
1482D4—82no—
1483D4—82no—
1484D4—2924no—
1485D4—2924no—
1486D4—5842no—
1487D4—5842no—
1488D4—5842no—
1489D4—5842no—
1490D4—5842no—
1491D4—5842no—
1492D4—1468no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—82no—
1524C2×C4—82no—
1525C2×C4—2924no—
1526C2×C4—2924no—
1527C2×C4—2924no—
1528C2×C4—2924no—
1529C2×C4—2924no—
1530C2×C4—2924no—
1531C2×C4—2924no—
1532C2×C4—5842no—
1533C2×C4—5842no—
1534C2×C4—732no—
1535C2×C4—732no—
1536C2×C4—732no—
1537C2×C4—732no—
1538C2×C4—1461no—
1539C2×C4—1461no—
1540C2×C4—1461no—
1541C2×C4—1461no—
1542C2×C4—1461no—
1543C2×C4—1461no—
1544C2×C4—1461no—
1545C2×C4—1461no—
1546C2×C4—1461no—
1547C2×C4—1461no—
1548C2×C4—1461no—
1549C2×C4—1461no—
1550C2×C4—1461no—
1551C2×C4—1461no—
1552C2×C4—1461no—
1553C2×C4—1461no—
1554C2×C4—1461no—
1555C2×C4—1461no—
1556C2×C4—1461no—
1557C2×C4—1461no—
1558C2×C4—1461no—
1559C2×C4—1461no—
1560C2×C4—1461no—
1561C2×C4—1461no—
1562C2×C4—1461no—
1563C2×C4—1461no—
1564C2×C4—1461no—
1565C2×C4—1461no—
1566C2×C4—1461no—
1567C2×C4—1461no—
1568C2×C4—1461no—
1569C2×C4—1461no—
1570C2×C4—1461no—
1571C2×C4—1461no—
1572C2×C4—1461no—
1573C2×C4C2×D4×D7312yes—
1574C2×C4C2×D4×D7312yes—
1575C2×C4C2×D4×D7312yes—
1576C2×C4#41×D7312yes—
1577C2×C4#41×D7312yes—
1578C2×C4#1455663612yes—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—2921no—
1601C22—2921no—
1602C22—2921no—
1603C22—2921no—
1604C22—2921no—
1605C22—2921no—
1606C22—2921no—
1607C22—2921no—
1608C22—2921no—
1609C22—2921no—
1610C22—2921no—
1611C22—5848no—
1612C22—734no—
1613C22—1462no—
1614C22—1462no—
1615C22—1462no—
1616C22—1462no—
1617C22—1462no—
1618C22—1462no—
1619C22—1462no—
1620C22—1462no—
1621C22—1462no—
1622C22C22×D4×D7311yescharacteristic
1623C22C2×#41×D7311yescharacteristic
1624C22C2×#41×D7311yescharacteristic
1625C22C2×#1455663611yescharacteristic
1626C22#1798942211yescharacteristic
1627C22#1798942311yescharacteristic
1628C22#1798942411yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—22no—
1634C4—22no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—2921no—
1642C4—2921no—
1643C4—2921no—
1644C4—2921no—
1645C4—2921no—
1646C4—2921no—
1647C4—2921no—
1648C4—2921no—
1649C4—2921no—
1650C4—1462no—
1651C4—1462no—
1652C4—1462no—
1653C4—1462no—
1654C2—81no—
1655C2—81no—
1656C2—81no—
1657C2—2922no—
1658C2—5841no—
1659C2—1464no—
1660C2#532×D7311yescharacteristic
1661C2#2262331811yescharacteristic
1662C2#2262333811yescharacteristic
1663C2#2262368711yescharacteristic
1664C2#2262372211yescharacteristic
1665C2#2262386611yescharacteristic
1666C2#2262399211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D73
commutator, socle, cosocleC23×C73C25
FittingC73×#2461C2
hypercenter#2461D73
hypocenterC73#35009
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C23 ◁ #2461

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#17989183C2semidirect
2. C2×#17989173C2semidirect
3. #22618300C2semidirect
4. #22618295C2semidirect
5. #22618258C2semidirect
6. #22618227C2semidirect
7. #22616091C2semidirect
8. #22616086C2semidirect
9. #22616067C2semidirect
10. #22616062C2semidirect
11. #22615071C2semidirect
12. #22615064C2semidirect
13. #22615041C2semidirect
14. #22615034C2semidirect
15. #22614936C2semidirect
16. #22614894C2semidirect
17. #22614856C2semidirect
18. #22614822C2semidirect
19. #22614636C2semidirect
20. #22614604C2semidirect
21. #22614256C2semidirect
22. #22614053C2semidirect
23. #22613931C2semidirect
24. #22613487C2semidirect
25. #22613474C2semidirect
26. #22612598C2semidirect
27. #22612587C2semidirect
28. C4×#14556562C2semidirect
29. #388×D73C2semidirect
30. C4×#14556553C2semidirect
31. C73×#2461C2semidirect
35. C2×#14556586C22semidirect
37. C2×#14556584C22semidirect
38. C2×#14556581C22semidirect
39. C2×#14556581C22semidirect
44. C2×#14556574C22semidirect
47. C2×#14556573C22semidirect
50. C2×#14556567C22semidirect
70. C2×C42×D73C22semidirect
71. #17988529C22semidirect
72. #17988526C22semidirect
75. #17988520C22semidirect
76. #17988520C22semidirect
77. #17988519C22semidirect
78. #17988517C22semidirect
80. #17988514C22semidirect
81. #17988514C22semidirect
82. #17988512C22semidirect
84. #17988510C22semidirect
86. #17988508C22semidirect
92. #17988503C22semidirect
94. #17988499C22semidirect
98. #17988495C22semidirect
99. #17988494C22semidirect
100. #17988491C22semidirect
101. #17988491C22semidirect
105. #17988490C22semidirect
110. #17988486C22semidirect
111. #17988485C22semidirect
112. #17988484C22semidirect
113. #17988483C22semidirect
114. #17988483C22semidirect
115. #17988482C22semidirect
118. #17988481C22semidirect
119. #17988481C22semidirect
122. #17988480C22semidirect
123. #17988480C22semidirect
136. #17988475C22semidirect
137. #17988475C22semidirect
138. #17988475C22semidirect
139. #17988472C22semidirect
140. #17988468C22semidirect
149. #17988463C22semidirect
150. #17988463C22semidirect
151. #17988463C22semidirect
153. #17988460C22semidirect
155. #17988453C22semidirect
157. #17988446C22semidirect
160. C4⋊C4×Dic73C22semidirect
161. C4⋊C4×Dic73C22semidirect
162. C4×C4⋊Dic73C22semidirect
164. C4×#11924005C22semidirect
165. C4×C22⋊Dic73C22semidirect
166. C4×C22⋊Dic73C22semidirect
169. #17988434C22semidirect
170. #17988434C22semidirect
173. C42×Dic73C22semidirect
176. C2×C22⋊Q8×C73C22semidirect
177. C2×C4×D4×C73C22semidirect
179. #395×C73C22semidirect
180. #394×C73C22semidirect
184. #388×C73C22semidirect
185. #388×C73C22semidirect
187. #385×C73C22semidirect
188. C4×C4⋊C4×C73C22semidirect
237. #14556553D4semidirect
857. #2461D73semidirect
865. C73#35009semidirect
887. C2×C22⋊Q8C2×D73semidirect
902. C2×C4×D4C2×D73semidirect
926. #395C2×D73semidirect
934. #394C2×D73semidirect
983. #388C2×D73semidirect
984. #388C2×D73semidirect
1002. #385C2×D73semidirect
1011. C4×C4⋊C4C2×D73semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#179891832
C2×#179891732
#226183002
#226182952
#226182582
#226182272
#226160912
#226160862
#226160672
#226160622
#226150712
#226150642
#226150412
#226150342
#226149362
#226148942
#226148562
#226148222
#226146362
#226146042
#226142562
#226140532
#226139312
#226134872
#226134742
#226125982
#226125872
C4×#145565622
#388×D732
C4×#145565532
C73×#24612
#3500973